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Arrow's Impossibility Theorem is commonly understood to invoke a dictatorship that is somehow lurking within our voting arrangements. A well-recognized statement of the theorem is that "any constitution that respects transitivity, independence of irrelevant alternatives and unanimity is a...
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The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for...
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We provide a respecification of an integer program characterization of Arrovian social welfare functions introduced by Sethuranam et al.(2003). By exploiting this respecification, we give a new and simpler proof of Theorem 2 in Kalai and Muller (1977).
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wishes to evaluate her options on the basis of a single aggregate prior via classical expected utility theory (a … preference and judgment aggregation theory which show that the aggregate of several probability measures should not be conceived … McConway's (Journal of the American Statistical Association, vol. 76, no. 374, pp. 410-414, 1981) theory of probabilistic …
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It is proved that, among all restricted preference domains that guarantee consistency (i.e. transitivity) of pairwise majority voting, the single-peaked domain is the only minimally rich and connected domain that contains two completely reversed strict preference orders. It is argued that this...
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